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Finding the Third Proportional to 232,416 and 511,488

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Solution

The third proportional to 232,416 and 511,488 is: 1,125,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,416 : 511,488 = 511,488 : x
  2. Step 2: Convert to fraction form
    232,416/511,488 = 511,488/x
  3. Step 3: Cross multiply
    232,416x = 511,488 × 511,488
  4. Step 4: Simplify right side
    232,416x = 261,619,974,144
  5. Step 5: Solve for x
    x = 261,619,974,144/232,416
  6. Step 6: Final answer
    x = 1,125,653.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.